Finding the Fourth Proportional to 2,996,734,280,885, 4,135,496,368,254.80 and 1,626,510,015,291.80
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Solution
The fourth proportional to 2,996,734,280,885, 4,135,496,368,254.80 and 1,626,510,015,291.80 is: 2,244,585,482,294.69
Step by Step Solution
- Step 1: Write the proportion equation
2,996,734,280,885 : 4,135,496,368,254.80 = 1,626,510,015,291.80 : x - Step 2: Convert to fraction form
2,996,734,280,885/4,135,496,368,254.80 = 1,626,510,015,291.80/x - Step 3: Cross multiply
2,996,734,280,885x = 4,135,496,368,254.80 × 1,626,510,015,291.80 - Step 4: Simplify right side
2,996,734,280,885x = 6,726,426,261,169,298,307,284,992 - Step 5: Solve for x
x = 6,726,426,261,169,298,307,284,992/2,996,734,280,885 - Step 6: Final answer
x = 2,244,585,482,294.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.